A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces

• Agwu, Imo Kalu ^[1] ; Saleem, Naeem ^[2] ; Isthiaq, Umar ^[2]
  1. [1] Michael Okpara University of Agriculture

     Michael Okpara University of Agriculture

     Nigeria

     
  2. [2] University of Management and Technology

     University of Management and Technology

     Estados Unidos

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 26, Nº. 1, 2025, págs. 1-27
• Idioma: inglés
• DOI: 10.4995/agt.2025.17595
• Enlaces
  • Texto completo
• Resumen

  • Let E be a uniformly convex Banach space and C a nonempty closed bounded convex subset of E. Let  Γ : C ⟶ C and G : C ⟶ C be enriched strictly pseudocontractive mapping and  Φ Γ -enriched Lipschitzian mapping respectively. We introduce the above two mappings in uniformly convex Banach space and thereafter prove that a new modified mixed-type lshikawa iteration scheme converges strongly to the common fixed points of Γ and G. In addition, we incorporate error terms to enhance the convergence ofthe method and also to improve the stability and robustness of the method. Our results extend and generalize the results obtained in [5] and so many other recent results currently existing in literature.

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